Adding, Subtracting, Multiplying and Dividing Mixed Integers from ... - Free Printable

Problem Overview:

The task involves solving a series of arithmetic operations with integers, including addition, subtraction, multiplication, and division. Each operation must be carefully evaluated according to the rules of integer arithmetic.

Solution:

#### Left Column: Addition, Subtraction
1. (-6) - (-13) =
- Subtracting a negative is the same as adding a positive.
- $-6 + 13 = 7$
- Answer: 7

2. (-5) + (+9) =
- Adding a positive number to a negative number.
- $-5 + 9 = 4$
- Answer: 4

3. (-12) - (+7) =
- Subtracting a positive number from a negative number.
- $-12 - 7 = -19$
- Answer: -19

4. (+90) ÷ (-10) =
- Dividing a positive by a negative gives a negative result.
- $90 ÷ -10 = -9$
- Answer: -9

5. (-10) + (-10) =
- Adding two negative numbers.
- $-10 - 10 = -20$
- Answer: -20

6. (-3) × (+13) =
- Multiplying a negative by a positive gives a negative result.
- $-3 \times 13 = -39$
- Answer: -39

7. (+4) - (-13) =
- Subtracting a negative is the same as adding a positive.
- $4 + 13 = 17$
- Answer: 17

8. (-11) - (+7) =
- Subtracting a positive number from a negative number.
- $-11 - 7 = -18$
- Answer: -18

9. (-42) ÷ (+3) =
- Dividing a negative by a positive gives a negative result.
- $-42 ÷ 3 = -14$
- Answer: -14

10. (+8) + (+15) =
- Adding two positive numbers.
- $8 + 15 = 23$
- Answer: 23

11. (-15) + (+5) =
- Adding a positive number to a negative number.
- $-15 + 5 = -10$
- Answer: -10

12. (-36) ÷ (-9) =
- Dividing a negative by a negative gives a positive result.
- $-36 ÷ -9 = 4$
- Answer: 4

13. (-10) - (-5) =
- Subtracting a negative is the same as adding a positive.
- $-10 + 5 = -5$
- Answer: -5

14. (-98) ÷ (+14) =
- Dividing a negative by a positive gives a negative result.
- $-98 ÷ 14 = -7$
- Answer: -7

15. (-9) × (+13) =
- Multiplying a negative by a positive gives a negative result.
- $-9 \times 13 = -117$
- Answer: -117

16. (-20) ÷ (+2) =
- Dividing a negative by a positive gives a negative result.
- $-20 ÷ 2 = -10$
- Answer: -10

17. (-15) - (-7) =
- Subtracting a negative is the same as adding a positive.
- $-15 + 7 = -8$
- Answer: -8

18. (+15) × (-9) =
- Multiplying a positive by a negative gives a negative result.
- $15 \times -9 = -135$
- Answer: -135

19. (-1) × (-12) =
- Multiplying two negatives gives a positive result.
- $-1 \times -12 = 12$
- Answer: 12

20. (+12) + (+10) =
- Adding two positive numbers.
- $12 + 10 = 22$
- Answer: 22

21. (-14) - (-14) =
- Subtracting a negative is the same as adding a positive.
- $-14 + 14 = 0$
- Answer: 0

22. (-12) + (+13) =
- Adding a positive number to a negative number.
- $-12 + 13 = 1$
- Answer: 1

23. (-12) + (-9) =
- Adding two negative numbers.
- $-12 - 9 = -21$
- Answer: -21

24. (-15) + (-3) =
- Adding two negative numbers.
- $-15 - 3 = -18$
- Answer: -18

25. (-13) × (+3) =
- Multiplying a negative by a positive gives a negative result.
- $-13 \times 3 = -39$
- Answer: -39

---

#### Right Column: Addition, Subtraction, Multiplication, Division
1. (+13) × (-4) =
- Multiplying a positive by a negative gives a negative result.
- $13 \times -4 = -52$
- Answer: -52

2. (+9) - (+2) =
- Subtracting a positive number from another positive number.
- $9 - 2 = 7$
- Answer: 7

3. (+72) ÷ (-8) =
- Dividing a positive by a negative gives a negative result.
- $72 ÷ -8 = -9$
- Answer: -9

4. (+2) - (+15) =
- Subtracting a larger positive number from a smaller positive number.
- $2 - 15 = -13$
- Answer: -13

5. (+5) × (+13) =
- Multiplying two positive numbers.
- $5 \times 13 = 65$
- Answer: 65

6. (+15) - (-1) =
- Subtracting a negative is the same as adding a positive.
- $15 + 1 = 16$
- Answer: 16

7. (+130) ÷ (+13) =
- Dividing two positive numbers.
- $130 ÷ 13 = 10$
- Answer: 10

8. (-72) ÷ (+12) =
- Dividing a negative by a positive gives a negative result.
- $-72 ÷ 12 = -6$
- Answer: -6

9. (-5) + (+10) =
- Adding a positive number to a negative number.
- $-5 + 10 = 5$
- Answer: 5

10. (-14) - (+1) =
- Subtracting a positive number from a negative number.
- $-14 - 1 = -15$
- Answer: -15

11. (+11) × (-5) =
- Multiplying a positive by a negative gives a negative result.
- $11 \times -5 = -55$
- Answer: -55

12. (-6) × (+14) =
- Multiplying a negative by a positive gives a negative result.
- $-6 \times 14 = -84$
- Answer: -84

13. (-84) ÷ (+6) =
- Dividing a negative by a positive gives a negative result.
- $-84 ÷ 6 = -14$
- Answer: -14

14. (+13) × (+2) =
- Multiplying two positive numbers.
- $13 \times 2 = 26$
- Answer: 26

15. (-5) × (+11) =
- Multiplying a negative by a positive gives a negative result.
- $-5 \times 11 = -55$
- Answer: -55

16. (+80) ÷ (+10) =
- Dividing two positive numbers.
- $80 ÷ 10 = 8$
- Answer: 8

17. (+14) + (+2) =
- Adding two positive numbers.
- $14 + 2 = 16$
- Answer: 16

18. (-13) ÷ (+13) =
- Dividing a negative by a positive gives a negative result.
- $-13 ÷ 13 = -1$
- Answer: -1

19. (+195) ÷ (+13) =
- Dividing two positive numbers.
- $195 ÷ 13 = 15$
- Answer: 15

20. (-5) × (-12) =
- Multiplying two negatives gives a positive result.
- $-5 \times -12 = 60$
- Answer: 60

21. (+2) + (+8) =
- Adding two positive numbers.
- $2 + 8 = 10$
- Answer: 10

22. (+8) × (-7) =
- Multiplying a positive by a negative gives a negative result.
- $8 \times -7 = -56$
- Answer: -56

23. (-10) × (+6) =
- Multiplying a negative by a positive gives a negative result.
- $-10 \times 6 = -60$
- Answer: -60

24. (-3) + (+14) =
- Adding a positive number to a negative number.
- $-3 + 14 = 11$
- Answer: 11

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Final Answer:

The solutions are boxed below for clarity:

Left Column:
1. $7$
2. $4$
3. $-19$
4. $-9$
5. $-20$
6. $-39$
7. $17$
8. $-18$
9. $-14$
10. $23$
11. $-10$
12. $4$
13. $-5$
14. $-7$
15. $-117$
16. $-10$
17. $-8$
18. $-135$
19. $12$
20. $22$
21. $0$
22. $1$
23. $-21$
24. $-18$
25. $-39$

Right Column:
1. $-52$
2. $7$
3. $-9$
4. $-13$
5. $65$
6. $16$
7. $10$
8. $-6$
9. $5$
10. $-15$
11. $-55$
12. $-84$
13. $-14$
14. $26$
15. $-55$
16. $8$
17. $16$
18. $-1$
19. $15$
20. $60$
21. $10$
22. $-56$
23. $-60$
24. $11$

$$
\boxed{
\text{See detailed solutions above.}
}
$$